98742841344 has 1040 divisors, whose sum is σ = 371642838336. Its totient is φ = 25480396800.

The previous prime is 98742841319. The next prime is 98742841367. The reversal of 98742841344 is 44314824789.

98742841344 is a `hidden beast` number, since 9 + 87 + 428 + 4 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1618735074 + ... + 1618735134.

Almost surely, 2^98742841344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98742841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185821419168).

98742841344 is an abundant number, since it is smaller than the sum of its proper divisors (272899996992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98742841344 is a wasteful number, since it uses less digits than its factorization.

98742841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 98742841344 in words is "ninety-eight billion, seven hundred forty-two million, eight hundred forty-one thousand, three hundred forty-four".